Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054x |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-279596307225320448 = -1 · 210 · 3 · 1112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1717658,-867558361] |
[a1,a2,a3,a4,a6] |
Generators |
[749808649:50823456239:148877] |
Generators of the group modulo torsion |
j |
-316357187835741625/157824826368 |
j-invariant |
L |
6.2647846665871 |
L(r)(E,1)/r! |
Ω |
0.065935968240144 |
Real period |
R |
9.5013159490891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162ba1 1914b1 |
Quadratic twists by: -3 -11 |